Cr2+ CORE VALENCE 3d POPULATION 18.000000000 4.000000000 sinth/l J0 TOT J0 CORE J0 VAL 0.00 22.000000000 18.000000000 1.000000000 0.05 21.706758068 17.834426700 0.968082842 0.10 20.876141440 17.355516124 0.880156329 0.15 19.636101928 16.612902662 0.755799817 0.20 18.148921018 15.677963684 0.617739334 0.25 16.568299407 14.630699619 0.484399947 0.30 15.014683720 13.547276099 0.366851905 0.35 13.568955201 12.490944539 0.269502666 0.40 12.276767344 11.507409221 0.192339531 0.45 11.156596533 10.624241342 0.133088798 0.50 10.207862841 9.853116170 0.088686668 0.55 9.417817902 9.193484374 0.056083382 0.60 8.766933893 8.636546161 0.032596933 0.65 8.232874213 8.168807780 0.016016608 0.70 7.793232246 7.774881015 0.004587808 0.75 7.427261276 7.439458209 -0.003049233 0.80 7.116825754 7.148551067 -0.007931328 0.85 6.846789166 6.890147371 -0.010839551 0.90 6.605023121 6.654449027 -0.012356476 0.95 6.382184356 6.433834966 -0.012912652 1.00 6.171368505 6.222661796 -0.012823323 1.05 5.967716155 6.016983973 -0.012316955 1.10 5.768020002 5.814248644 -0.011557161 1.15 5.570361900 5.612999530 -0.010659407 1.20 5.373794474 5.412609169 -0.009703674 1.25 5.178072593 5.213048530 -0.008743984 1.30 4.983434142 5.014696365 -0.007815556 1.35 4.790426189 4.818186691 -0.006940125 1.40 4.599771015 4.624290620 -0.006129901 1.45 4.412265938 4.433827819 -0.005390470 1.50 4.228710961 4.247602670 -0.004722927 1.55 4.049858785 4.066360457 -0.004125418 1.60 3.876382389 3.890759368 -0.003594245 1.65 3.708856076 3.721354685 -0.003124652 1.70 3.547746618 3.558592100 -0.002711371 1.75 3.393411715 3.402807674 -0.002348990 1.80 3.246103613 3.254232427 -0.002032204 1.85 3.105976137 3.112999994 -0.001755964 1.90 2.973093842 2.979156139 -0.001515574 1.95 2.847442290 2.852669211 -0.001306730 2.00 2.728938719 2.733440876 -0.001125539 2.05 2.617442603 2.621316654 -0.000968513 2.10 2.512765735 2.516095930 -0.000832549 2.15 2.414681609 2.417541229 -0.000714905 2.20 2.322933969 2.325386653 -0.000613171 2.25 2.237244454 2.239345390 -0.000525234 2.30 2.157319327 2.159116333 -0.000449251 2.35 2.082855319 2.084389787 -0.000383617 2.40 2.013544610 2.014852357 -0.000326937 2.45 1.949079039 1.950191042 -0.000278001 2.50 1.889153581 1.890096626 -0.000235761 2.55 1.833469186 1.834266434 -0.000199312 2.60 1.781735044 1.782406520 -0.000167869 2.65 1.733670343 1.734233363 -0.000140755 2.70 1.689005593 1.689475133 -0.000117385 2.75 1.647483576 1.647872590 -0.000097254 2.80 1.608859977 1.609179673 -0.000079924 2.85 1.572903746 1.573163823 -0.000065019 2.90 1.539397239 1.539606093 -0.000052214 2.95 1.508136175 1.508301076 -0.000041225 3.00 1.478929454 1.479056696 -0.000031811 3.05 1.451598842 1.451693878 -0.000023759 3.10 1.425978582 1.426046134 -0.000016888 3.15 1.401914925 1.401959084 -0.000011040 3.20 1.379265616 1.379289925 -0.000006077 3.25 1.357899346 1.357906874 -0.000001882 3.30 1.337695182 1.337688585 0.000001649 3.35 1.318541989 1.318523567 0.000004606 3.40 1.300337845 1.300309586 0.000007065 3.45 1.282989471 1.282953096 0.000009094 3.50 1.266411669 1.266368661 0.000010752 3.55 1.250526769 1.250478409 0.000012090 3.60 1.235264106 1.235211500 0.000013152 3.65 1.220559514 1.220503611 0.000013976 3.70 1.206354843 1.206296457 0.000014596 3.75 1.192597497 1.192537328 0.000015042 3.80 1.179240004 1.179178649 0.000015339 3.85 1.166239608 1.166177575 0.000015508 3.90 1.153557882 1.153495603 0.000015570 3.95 1.141160372 1.141098211 0.000015540 4.00 1.129016257 1.128954522 0.000015434 4.05 1.117098040 1.117036987 0.000015263 4.10 1.105381257 1.105321097 0.000015040 4.15 1.093844202 1.093785110 0.000014773 4.20 1.082467684 1.082409802 0.000014471 4.25 1.071234791 1.071178231 0.000014140 4.30 1.060130679 1.060075528 0.000013788 4.35 1.049142372 1.049088698 0.000013418 4.40 1.038258585 1.038206438 0.000013037 4.45 1.027469558 1.027418971 0.000012647 4.50 1.016766901 1.016717893 0.000012252 4.55 1.006143454 1.006096033 0.000011855 4.60 0.995593160 0.995547326 0.000011459 4.65 0.985110951 0.985066693 0.000011064 4.70 0.974692636 0.974649939 0.000010674 4.75 0.964334808 0.964293650 0.000010290 4.80 0.954034754 0.953995108 0.000009912 4.85 0.943790374 0.943752210 0.000009541 4.90 0.933600107 0.933563391 0.000009179 4.95 0.923462869 0.923427566 0.000008826 5.00 0.913377988 0.913344060 0.000008482 5.05 0.903345151 0.903312559 0.000008148 5.10 0.893364357 0.893333061 0.000007824 5.15 0.883435872 0.883405831 0.000007510 5.20 0.873560187 0.873531360 0.000007207 5.25 0.863737984 0.863710330 0.000006913 5.30 0.853970104 0.853943583 0.000006630 5.35 0.844257518 0.844232089 0.000006357 5.40 0.834601301 0.834576924 0.000006094 5.45 0.825002610 0.824979247 0.000005841 5.50 0.815462664 0.815440276 0.000005597 5.55 0.805982723 0.805961272 0.000005363 5.60 0.796564075 0.796543525 0.000005138 5.65 0.787208021 0.787188335 0.000004921 5.70 0.777915864 0.777897009 0.000004714 5.75 0.768688897 0.768670839 0.000004515 5.80 0.759528393 0.759511099 0.000004323 5.85 0.750435597 0.750419037 0.000004140 5.90 0.741411723 0.741395864 0.000003965 5.95 0.732457942 0.732442756 0.000003797 6.00 0.723575382 0.723560840 0.000003635 6.05 0.714765122 0.714751198 0.000003481 6.10 0.706028188 0.706014856 0.000003333 6.15 0.697365552 0.697352786 0.000003192 6.20 0.688778127 0.688765902 0.000003056 6.25 0.680266770 0.680255063 0.000002927 6.30 0.671832277 0.671821066 0.000002803 6.35 0.663475386 0.663464649 0.000002684 6.40 0.655196771 0.655186488 0.000002571 6.45 0.646997047 0.646987199 0.000002462 6.50 0.638876769 0.638867336 0.000002358 6.55 0.630836433 0.630827397 0.000002259 6.60 0.622876475 0.622867818 0.000002164 6.65 0.614997275 0.614988981 0.000002073 6.70 0.607199155 0.607191210 0.000001986 6.75 0.599482382 0.599474770 0.000001903 6.80 0.591847169 0.591839874 0.000001824 6.85 0.584293675 0.584286684 0.000001748 6.90 0.576822009 0.576815308 0.000001675 6.95 0.569432233 0.569425809 0.000001606 7.00 0.562124359 0.562118200 0.000001540 7.05 0.554898353 0.554892449 0.000001476 7.10 0.547754136 0.547748476 0.000001415 7.15 0.540691588 0.540686161 0.000001357 7.20 0.533710547 0.533705342 0.000001301 7.25 0.526810813 0.526805820 0.000001248 7.30 0.519992148 0.519987357 0.000001198 7.35 0.513254278 0.513249682 0.000001149 7.40 0.506596897 0.506592487 0.000001103 7.45 0.500019663 0.500015432 0.000001058 7.50 0.493522207 0.493518147 0.000001015 7.55 0.487104127 0.487100230 0.000000974 7.60 0.480764998 0.480761256 0.000000935 7.65 0.474504365 0.474500772 0.000000898 7.70 0.468321749 0.468318300 0.000000862 7.75 0.462216655 0.462213341 0.000000829 7.80 0.456188553 0.456185372 0.000000795 7.85 0.450236907 0.450233851 0.000000764 7.90 0.444361152 0.444358215 0.000000734 7.95 0.438560705 0.438557886 0.000000705 8.00 0.432834979 0.432832266 0.000000678 8.05 0.427183352 0.427180747 0.000000651 8.10 0.421605207 0.421602702 0.000000626 8.15 0.416099906 0.416097495 0.000000603 8.20 0.410666789 0.410664476 0.000000578 8.25 0.405305213 0.405302985 0.000000557 8.30 0.400014490 0.400012349 0.000000535 8.35 0.394793945 0.394791890 0.000000514 8.40 0.389642905 0.389640920 0.000000496 8.45 0.384560647 0.384558743 0.000000476 8.50 0.379546494 0.379544660 0.000000458 8.55 0.374599735 0.374597964 0.000000443 8.60 0.369719636 0.369717944 0.000000423 8.65 0.364905523 0.364903884 0.000000410 8.70 0.360156644 0.360155066 0.000000395 8.75 0.355472276 0.355470769 0.000000377 8.80 0.350851737 0.350850269 0.000000367 8.85 0.346294247 0.346292840 0.000000352 8.90 0.341799103 0.341797758 0.000000336 8.95 0.337365614 0.337364295 0.000000330 9.00 0.332992979 0.332991726 0.000000313 9.05 0.328680529 0.328679325 0.000000301 9.10 0.324427556 0.324426370 0.000000297 9.15 0.320233252 0.320232137 0.000000279 9.20 0.316096982 0.316095905 0.000000269 9.25 0.312018025 0.312016956 0.000000267 9.30 0.307995568 0.307994575 0.000000248 9.35 0.304029013 0.304028047 0.000000242 9.40 0.300117631 0.300116663 0.000000242 9.45 0.296260602 0.296259717 0.000000221 9.50 0.292457372 0.292456508 0.000000216 9.55 0.288707218 0.288706338 0.000000220 9.60 0.285009303 0.285008514 0.000000197 9.65 0.281363118 0.281362349 0.000000192 9.70 0.277767963 0.277767159 0.000000201 9.75 0.274222972 0.274222264 0.000000177 9.80 0.270727669 0.270726992 0.000000169 9.85 0.267281413 0.267280673 0.000000185 9.90 0.263883289 0.263882644 0.000000161 9.95 0.260532836 0.260532250 0.000000146 10.00 0.257229518 0.257228839 0.000000170 -------------------------------------------------------- Cr3+ CORE VALENCE 3d POPULATION 18.000000000 3.000000000 sinth/l J0 TOT J0 CORE J0 VAL 0.00 21.000000000 18.000000000 1.000000000 0.05 20.761813824 17.840370478 0.973814449 0.10 20.078214299 17.377613485 0.900200271 0.15 19.033389345 16.656961617 0.792142576 0.20 17.742928969 15.744239905 0.666229688 0.25 16.328457003 14.714511432 0.537981857 0.30 14.897420765 13.640858762 0.418854001 0.35 13.531910787 12.585688203 0.315407528 0.40 12.285825726 11.595734537 0.230030396 0.45 11.187558856 10.700722220 0.162278879 0.50 10.245326764 9.914821646 0.110168373 0.55 9.453099587 9.239738350 0.071120412 0.60 8.795985840 8.668373475 0.042537455 0.65 8.254571843 8.188297521 0.022091441 0.70 7.808107298 7.784616747 0.007830183 0.75 7.436636746 7.442085080 -0.001816111 0.80 7.122268286 7.146492340 -0.008074685 0.85 6.849792924 6.885450670 -0.011885915 0.90 6.606851623 6.648729981 -0.013959453 0.95 6.383813144 6.428285509 -0.014824122 1.00 6.173487218 6.218095782 -0.014869521 1.05 5.970761713 6.013900000 -0.014379429 1.10 5.772222726 5.812896732 -0.013558002 1.15 5.575793679 5.613443701 -0.012550007 1.20 5.380413066 5.414781898 -0.011456277 1.25 5.185759345 5.216795577 -0.010345411 1.30 4.992024348 5.019812084 -0.009262579 1.35 4.799732404 4.824440719 -0.008236105 1.40 4.609600163 4.631447233 -0.007282357 1.45 4.422431244 4.441659305 -0.006409354 1.50 4.239039763 4.255898006 -0.005619414 1.55 4.060197165 4.074930400 -0.004911078 1.60 3.886597436 3.899438911 -0.004280492 1.65 3.718836459 3.730003624 -0.003722388 1.70 3.557401977 3.567094316 -0.003230779 1.75 3.402671307 3.411069583 -0.002799425 1.80 3.254914495 3.262180940 -0.002422148 1.85 3.114301132 3.120580237 -0.002093035 1.90 2.980909435 2.986329102 -0.001806556 1.95 2.854736572 2.859409456 -0.001557628 2.00 2.735709450 2.739734371 -0.001341640 2.05 2.623695430 2.627158791 -0.001154454 2.10 2.518512596 2.521489736 -0.000992380 2.15 2.419939328 2.422495796 -0.000852156 2.20 2.327723033 2.329915761 -0.000730909 2.25 2.241587974 2.243466339 -0.000626122 2.30 2.161242162 2.162848942 -0.000535594 2.35 2.086383343 2.087755570 -0.000457409 2.40 2.016704123 2.017873833 -0.000389903 2.45 1.951896285 1.952891180 -0.000331632 2.50 1.891654370 1.892498401 -0.000281344 2.55 1.835678606 1.836392476 -0.000237957 2.60 1.783677241 1.784278844 -0.000200534 2.65 1.735368362 1.735873169 -0.000168269 2.70 1.690481277 1.690902661 -0.000140461 2.75 1.648757496 1.649107024 -0.000116509 2.80 1.609951404 1.610239079 -0.000095892 2.85 1.573830644 1.574065121 -0.000078159 2.90 1.540176284 1.540365052 -0.000062923 2.95 1.508782788 1.508932329 -0.000049847 3.00 1.479457839 1.479573766 -0.000038642 3.05 1.452022047 1.452109219 -0.000029057 3.10 1.426308551 1.426371176 -0.000020875 3.15 1.402162564 1.402204287 -0.000013908 3.20 1.379440855 1.379464833 -0.000007993 3.25 1.358011204 1.358020170 -0.000002989 3.30 1.337751832 1.337748151 0.000001227 3.35 1.318550816 1.318536537 0.000004760 3.40 1.300305511 1.300282405 0.000007702 3.45 1.282921970 1.282891569 0.000010134 3.50 1.266314380 1.266278006 0.000012125 3.55 1.250404512 1.250363306 0.000013735 3.60 1.235121187 1.235076133 0.000015018 3.65 1.220399770 1.220351715 0.000016018 3.70 1.206181685 1.206131355 0.000016777 3.75 1.192413949 1.192361968 0.000017327 3.80 1.179048741 1.178995641 0.000017700 3.85 1.166042984 1.165989221 0.000017921 3.90 1.153357967 1.153303926 0.000018014 3.95 1.140958975 1.140904982 0.000017998 4.00 1.128814954 1.128761284 0.000017890 4.05 1.116898199 1.116845081 0.000017706 4.10 1.105184054 1.105131679 0.000017458 4.15 1.093650648 1.093599173 0.000017158 4.20 1.082278635 1.082228188 0.000016816 4.25 1.071050971 1.071001654 0.000016439 4.30 1.059952689 1.059904581 0.000016036 4.35 1.048970707 1.048923871 0.000015612 4.40 1.038093645 1.038048126 0.000015173 4.45 1.027311658 1.027267488 0.000014724 4.50 1.016616281 1.016573478 0.000014268 4.55 1.006000289 1.005958861 0.000013809 4.60 0.995457566 0.995417515 0.000013350 4.65 0.984982992 0.984944311 0.000012894 4.70 0.974572334 0.974535011 0.000012441 4.75 0.964222146 0.964186161 0.000011995 4.80 0.953929680 0.953895012 0.000011556 4.85 0.943692807 0.943659430 0.000011126 4.90 0.933509943 0.933477829 0.000010705 4.95 0.923379982 0.923349099 0.000010294 5.00 0.913302234 0.913272550 0.000009895 5.05 0.903276372 0.903247853 0.000009506 5.10 0.893302381 0.893274994 0.000009129 5.15 0.883380518 0.883354227 0.000008764 5.20 0.873511266 0.873486036 0.000008410 5.25 0.863695302 0.863671097 0.000008068 5.30 0.853933461 0.853910246 0.000007739 5.35 0.844226712 0.844204451 0.000007420 5.40 0.834576128 0.834554788 0.000007113 5.45 0.824982866 0.824962412 0.000006818 5.50 0.815448144 0.815428542 0.000006534 5.55 0.805973224 0.805954442 0.000006261 5.60 0.796559395 0.796541400 0.000005998 5.65 0.787207960 0.787190723 0.000005746 5.70 0.777920227 0.777903716 0.000005503 5.75 0.768697490 0.768681678 0.000005271 5.80 0.759541028 0.759525884 0.000005048 5.85 0.750452090 0.750437587 0.000004834 5.90 0.741431891 0.741418003 0.000004629 5.95 0.732481609 0.732468311 0.000004433 6.00 0.723602377 0.723589643 0.000004245 6.05 0.714795279 0.714783086 0.000004064 6.10 0.706061345 0.706049670 0.000003892 6.15 0.697401551 0.697390371 0.000003727 6.20 0.688816817 0.688806111 0.000003569 6.25 0.680308002 0.680297750 0.000003417 6.30 0.671875910 0.671866092 0.000003273 6.35 0.663521282 0.663511880 0.000003134 6.40 0.655244798 0.655235794 0.000003001 6.45 0.647047077 0.647038454 0.000002874 6.50 0.638928680 0.638920420 0.000002753 6.55 0.630890105 0.630882193 0.000002637 6.60 0.622931794 0.622924215 0.000002526 6.65 0.615054133 0.615046872 0.000002420 6.70 0.607257447 0.607250490 0.000002319 6.75 0.599542007 0.599535342 0.000002222 6.80 0.591908029 0.591901643 0.000002129 6.85 0.584355678 0.584349557 0.000002040 6.90 0.576885066 0.576879200 0.000001955 6.95 0.569496259 0.569490636 0.000001874 7.00 0.562189272 0.562183882 0.000001797 7.05 0.554964077 0.554958909 0.000001722 7.10 0.547820596 0.547815642 0.000001651 7.15 0.540758714 0.540753963 0.000001583 7.20 0.533778270 0.533773714 0.000001519 7.25 0.526879068 0.526874698 0.000001457 7.30 0.520060873 0.520056681 0.000001397 7.35 0.513323415 0.513319393 0.000001341 7.40 0.506666389 0.506662531 0.000001286 7.45 0.500089459 0.500085757 0.000001234 7.50 0.493592255 0.493588703 0.000001184 7.55 0.487174379 0.487170970 0.000001136 7.60 0.480835407 0.480832134 0.000001091 7.65 0.474574888 0.474571745 0.000001048 7.70 0.468392347 0.468389329 0.000001006 7.75 0.462287285 0.462284387 0.000000966 7.80 0.456259181 0.456256399 0.000000928 7.85 0.450307496 0.450304824 0.000000891 7.90 0.444431669 0.444429102 0.000000856 7.95 0.438631121 0.438628655 0.000000822 8.00 0.432905259 0.432902889 0.000000790 8.05 0.427253473 0.427251195 0.000000759 8.10 0.421675140 0.421672950 0.000000730 8.15 0.416169624 0.416167518 0.000000702 8.20 0.410736275 0.410734252 0.000000674 8.25 0.405374436 0.405372491 0.000000648 8.30 0.400083436 0.400081566 0.000000623 8.35 0.394862596 0.394860797 0.000000600 8.40 0.389711231 0.389709500 0.000000577 8.45 0.384628645 0.384626979 0.000000555 8.50 0.379614139 0.379612536 0.000000534 8.55 0.374667009 0.374665466 0.000000514 8.60 0.369786542 0.369785058 0.000000495 8.65 0.364972026 0.364970597 0.000000476 8.70 0.360222742 0.360221367 0.000000458 8.75 0.355537969 0.355536646 0.000000441 8.80 0.350916987 0.350915712 0.000000425 8.85 0.346359068 0.346357840 0.000000409 8.90 0.341863489 0.341862306 0.000000394 8.95 0.337429523 0.337428383 0.000000380 9.00 0.333056445 0.333055347 0.000000366 9.05 0.328743531 0.328742473 0.000000353 9.10 0.324490058 0.324489038 0.000000340 9.15 0.320295302 0.320294320 0.000000327 9.20 0.316158545 0.316157599 0.000000315 9.25 0.312079070 0.312078156 0.000000304 9.30 0.308056156 0.308055277 0.000000293 9.35 0.304089097 0.304088247 0.000000283 9.40 0.300177180 0.300176359 0.000000273 9.45 0.296319697 0.296318907 0.000000263 9.50 0.292515952 0.292515189 0.000000254 9.55 0.288765246 0.288764509 0.000000245 9.60 0.285066883 0.285066175 0.000000236 9.65 0.281420182 0.281419498 0.000000228 9.70 0.277824456 0.277823795 0.000000221 9.75 0.274279023 0.274278387 0.000000212 9.80 0.270783218 0.270782602 0.000000205 9.85 0.267336367 0.267335770 0.000000199 9.90 0.263937802 0.263937229 0.000000191 9.95 0.260586878 0.260586323 0.000000185 10.00 0.257282942 0.257282402 0.000000180